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Finding the Fourth Proportional to 11,207.84, 16,813.10 and 4,638.67

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Solution

The fourth proportional to 11,207.84, 16,813.10 and 4,638.67 is: 6,958.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,207.84 : 16,813.10 = 4,638.67 : x
  2. Step 2: Convert to fraction form
    11,207.84/16,813.10 = 4,638.67/x
  3. Step 3: Cross multiply
    11,207.84x = 16,813.10 × 4,638.67
  4. Step 4: Simplify right side
    11,207.84x = 77,990,392.14
  5. Step 5: Solve for x
    x = 77,990,392.14/11,207.84
  6. Step 6: Final answer
    x = 6,958.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.